Modern Physics Letters B,VO1 11,No.18(1997)765-772 ()lVOrld scientinc Publishing Company EQUATION OF STATE AND VIRIAL COEFFICIENTS OF AN IDEAL GAS WITH FRACT10NAL EXCLUSION STATISTICS IN ARBITRARY DIIENSIONS

Equation of state and viriai coefficients of an ideal gas with fractional exclusion (i.L. ualdane_wu) statistics in arbitrary dimensions are derived herein, using the quan-tum statistical mecha,nics formulation for pressure and density of the system in terms of the D-dimensional momentum representation. The relationship between the convergence of the virial expansion and the existence of condensation is shown for this system' 1-. The concept of fractional exclusion statistics (FES) was originated ' by Haidanel in his pioneering v/ork in 1991. Using the definition of statistical interactions be-tween particles d la Haldane the quantum statistical mechanics (QSM) of an ideal gas with FES was formulated by Wu2 in his seminal work in 1994. Meantime, many strrdi".3-1e of FES on low-dimensional systems such as the fractional quantum Hall system2o and the Caiogero-Sutherland model(CSM)2r'22 have appeared ' and the conceptofFEsplayedaveryimportantroleinthesesystems.Especiaily,Das-nierbs de Veigy and Ouvry3 have revealed a deep connection between the FES and the fractional quantum HalI system preced.ing one year before Wu's work.2 And so have done later Bernard and wu7 and Isakove between the FES and the csM. An